47 divided by 25, work it out step by step

The Correct Answer and Explanation is:

Long Division: 47 ÷ 25

Step-by-Step Solution:

We want to divide 47 by 25.

Step 1: Set up the long division.

We write 47 inside the division box and 25 outside:

CopyEdit  __1.88
25 | 47.00

We’ll divide 47.00 by 25 and continue the division into decimal places.

Step 2: Divide the first part.

How many times does 25 go into 47?

25 × 1 = 25
25 × 2 = 50 → too much

So, 25 goes into 47 one time.

Write 1 above the line:

luaCopyEdit  1
25 | 47.00
    -25
   ----
     22

Step 3: Bring down the 0 (decimal begins).

Add a decimal point and a zero. Bring it down:

markdownCopyEdit  1.
25 | 47.00
    -25
   ----
     220

How many times does 25 go into 220?

25 × 8 = 200
25 × 9 = 225 → too much

So, 25 goes into 220 eight times.

Write 8 after the decimal:

luaCopyEdit  1.8
25 | 47.00
    -25
   ----
     220
    -200
   -----
      20

Step 4: Bring down another 0.

Bring down another zero to make it 200:

25 × 8 = 200

luaCopyEdit  1.88
25 | 47.00
    -25
   ----
     220
    -200
   -----
       20
     -200
   ------
        0

Now we have no remainder.

Final Answer: 1.88

300-Word Explanation (Textbook Style):

When dividing two numbers where the divisor does not go evenly into the dividend, long division can be used to find the decimal answer. Here, we are dividing 47 by 25.

First, observe how many times 25 fits into 47. Since 25 × 1 = 25 and 25 × 2 = 50, we see that 25 fits into 47 only once without exceeding it. We subtract 25 from 47 to get a remainder of 22.

At this point, we add a decimal point to the dividend and continue the division by bringing down a zero, turning 22 into 220. Now we ask how many times 25 goes into 220. Since 25 × 8 = 200 and 25 × 9 = 225 (which is too large), we use 8. We subtract 200 from 220 and are left with 20.

We bring down another zero to make it 200. Again, 25 goes into 200 exactly 8 times. Subtracting 200 from 200 leaves no remainder.

Thus, the long division of 47 by 25 gives us 1.88.

This method is helpful for converting a fraction (like 47/25) into a decimal. If needed, we can verify by multiplying the result:
1.88 × 25 = 47, confirming the accuracy.

Understanding long division ensures accurate computation and is a valuable skill when working without a calculator.